42084000 has 288 divisors, whose sum is σ = 171714816. Its totient is φ = 9561600.

The previous prime is 42083983. The next prime is 42084001. The reversal of 42084000 is 48024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (42084001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 251917 + ... + 252083.

It is an arithmetic number, because the mean of its divisors is an integer number (596232).

Almost surely, 2^42084000 is an apocalyptic number.

42084000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42084000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85857408).

42084000 is an abundant number, since it is smaller than the sum of its proper divisors (129630816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42084000 is a wasteful number, since it uses less digits than its factorization.

42084000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 42084000 is about 6487.2182019722. The cubic root of 42084000 is about 347.8342452797.

The spelling of 42084000 in words is "forty-two million, eighty-four thousand".